Beginning with the origin of the four color problem in 1852, the field of graph colorings has developed into one of the most popular areas of graph theory. Introducing graph theory with a coloring theme, Chromatic Graph Theory explores connections between major topics in graph theory and graph colorings as well as emerging topics. This selfcontained book first prese1000nts various fundamentals of graph theory that lie outside of graph colorings, including basic terminology and results, trees and connectivity, Eulerian and Hamiltonian graphs, matchings and factorizations, and graph embeddings. The remainder of the text deals exclusively with graph colorings. It covers vertex colorings and bounds for the chromatic number, vertex colorings of graphs embedded on surfaces, and a variety of restricted vertex colorings. The authors also describe edge colorings, monochromatic and rainbow edge colorings, complete vertex colorings, several distinguishing vertex and edge colorings, and many distancerelated vertex colorings. With historical, applied, and algorithmic discussions, this text offers a solid introduction to one of the most popular areas of graph theory.
About Gary Chartrand
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Author  :  Gary Chartrand 
Publisher  :  CRC Press 
Data Published  :  01 January 2008 
ISBN  :  128186336X 
EAN  :  9781281863362 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  483 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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